Statistical-mechanical models with separable many-body interactions: Especially partition functions and thermodynamic consequences. (English) Zbl 1310.82004
The authors discuss four statistical-mechanical models with many-body interactions: the statistical-mechanical model of a homogeneous classical liquid with assumed central pair force, the statistical-model of a two-dimensional Coulomb one-component plasma for a specific coupling strength, the quantal canonical density matrix and Slater sum for non-interacting uniform electron liquid made inhomogeneous by switching on a one-body potential and the 3D Ising model. Two of these models are amenable to exact treatment while interesting partial results are derived for the other ones. The paper concludes with a conjecture on the exact solution of the 3D Ising model.
Reviewer: Guy Jumarie (Montréal)
MSC:
| 82B05 | Classical equilibrium statistical mechanics (general) |
| 82D15 | Statistical mechanics of liquids |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 82D10 | Statistical mechanics of plasmas |
Keywords:
statistical-mechanical models; many-body interactions; partition functions; thermodynamic consequencesReferences:
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